45100517420160 has 224 divisors, whose sum is σ = 161653688821980. Its totient is φ = 12026804520960.

The previous prime is 45100517420159. The next prime is 45100517420177. The reversal of 45100517420160 is 6102471500154.

45100517420160 is a `hidden beast` number, since 4 + 5 + 100 + 517 + 4 + 20 + 16 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45094233370176 + 6284049984 = 6715224^2 + 79272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 47866471 + ... + 48799590.

Almost surely, 2^{45100517420160} is an apocalyptic number.

45100517420160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45100517420160 is an abundant number, since it is smaller than the sum of its proper divisors (116553171401820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45100517420160 is an frugal number, since it uses more digits than its factorization.

45100517420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96666098 (or 96666071 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 45100517420160 in words is "forty-five trillion, one hundred billion, five hundred seventeen million, four hundred twenty thousand, one hundred sixty".